The function is .
(a)
\Find the zeros of on the interval
.
Find the zeros of by equating
to zero.
The general solution of is
, where
is an integer.
.
The general solutions is , where
is an integer.
If then
.
If then
.
If then
.
If then
.
If then
.
If then
.
If then
.
The solutions on the interval are
.
Therefore, the zeros of on the interval
are
.
(b)
\The function is and the interval is
.
Rewrite the function as .
Make a table to find the ordered pairs.
\Choose different values of on the interval
, then find corresponding values for
.
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Draw a coordinate plane.
\Plot the intercpts and points obtained in the above table.
\Connect those points with a smooth curve.
\Graph :
\
(c)
\Solve on the interval
.
The general solution of is
, where
is an integer.
If then
.
If then
.
If then
.
If then
.
If then
.
If then
.
If then
.
The solutions on the interval are
.
Label the points on the graph of .
The points on the graph of are
,
,
,
,
, and
.
(d)
\Observe the graph drawn in part (b) along with the results of part (c) :
\The values of such that
on the interval
are
.
(a)
\The zeros of on the interval
are
.
(b)
\Graph of :
(c)
\Solun set is . Graph:
(d)
\.